布希涅斯克解答适用范围研究

his paper studies the the vertical force of boussinesq formulas near vertical stress when the load size calculated according to the formula of tends to infinity problem. Combined with Saint-Venant principle, to solve the problem of singularities boussinesq. From within the region closer to the load point load more scientific as distributed loads, distributed loads can be mathematically eliminated from the singular point.With the physical point of elasticity depth increases, distributed load span should be inversely proportional relationship Along with the increase of depth of the particle research elastomer, distribution load span inverse relation, Assuming particle depth and load span as a function of when ,k coefficients to be determined to prove this hypothesis in the case of the existence of the load span singularity can be eliminated. depicts cut-off point with change, load span canbe negligible. And as concentration and distributing force at different depths relative error is how much, the quantitative determination of small errors, is the depth of elastomer scope of the key.If meet , Load span the error caused by negligible, Boussinesq can still use cloth within scottie formula .Thus in the engineering calculation is more rational, using elastic mechanics formula of science.